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Employee Benefit Plans - Time-Based Restricted Stock Unit Equity Awards (Details) - Restricted Stock Units (RSUs) [Member] $ / shares in Units, $ in Millions | 12 Months Ended
--- | ---
Sep. 30, 2023 USD ($) grant_recipient $ / shares shares | Sep. 30, 2022 USD ($) grant_recipient $ / shares shares | Sep. 30, 2021 USD ($) grant_recipient $ / shares shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested in Period, Fair Value | $ | $ 115.2 | $ 120.1 | $ 131.3
Number of Restricted Stock Units |  |  |
Outstanding at beginning of year, shares | shares | 3,466,094 | 3,817,265 | 4,725,701
Granted, shares | shares | 877,131 | 1,153,124 | 856,615
Vested, shares | shares | (1,251,785) | (1,402,642) | (1,644,263)
Cancelled, shares | shares | (124,515) | (101,653) | (120,788)
Outstanding at end of year, shares | shares | 2,966,925 | 3,466,094 | 3,817,265
Weighted Average Grant Date Fair Value |  |  |
Outstanding at beginning of year, weighted average grant date fair value, per share | $ / shares | $ 57.50 | $ 46.16 | $ 34.79
Granted, weighted average grant date fair value, per share | $ / shares | 93.44 | 74.96 | 83.13
Vested, weighted average grant date fair value, per share | $ / shares | 50.61 | 41.44 | 33.26
Cancelled, weighted average grant date fair value, per share | $ / shares | 61.95 | 51.22 | 39.16
Outstanding at end of year, weighted average grant date fair value, per share | $ / shares | $ 70.85 | $ 57.50 | $ 46.16
Additional information - restricted stock units |  |  |
Share-based compensation expense | $ | $ 65.7 | $ 63.6 | $ 56.5
Unrecognized compensation expense | $ | $ 156.4 |  |
Weighted average period over which unrecognized compensation cost is expected to be recognized | 2 years 7 months 6 days |  |
Minimum [Member] |  |  |
Additional information - restricted stock units |  |  |
Vesting period | 3 years |  |
Maximum [Member] |  |  |
Additional information - restricted stock units |  |  |
Vesting period | 5 years |  |
Fiscal 2021 Grant |  |  |
Additional information - restricted stock units |  |  |
RSU grant recipients | grant_recipient |  |  | 1,030
Fiscal 2022 Grant |  |  |
Additional information - restricted stock units |  |  |
RSU grant recipients | grant_recipient |  | 1,200 |
Fiscal 2023 Grant |  |  |
Additional information - restricted stock units |  |  |
RSU grant recipients | grant_recipient | 1,380 |  |

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- Definition Amount of expense for award under share-based payment arrangement. Excludes amount capitalized. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 14.F) -Publisher FASB -URI https://asc.fasb.org//1943274/2147479830/718-10-S99-1 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (h)(1)(i) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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- Definition The number of equity-based payment instruments, excluding stock (or unit) options, that were forfeited during the reporting period. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c)(2)(iii)(03) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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- Definition Weighted average fair value as of the grant date of equity-based award plans other than stock (unit) option plans that were not exercised or put into effect as a result of the occurrence of a terminating event. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c)(2)(iii)(03) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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- Definition The weighted average fair value at grant date for nonvested equity-based awards issued during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan). + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c)(2)(iii)(01) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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